#include<bits/stdc++.h>
#define y1 Y1
#define fi first
#define endl "\n"
#define se second
#define PI acos(-1)
#define int long long
#define pb(x) push_back(x)
#define PII pair<int, int>
#define Yes cout << "Yes\n";
#define No cout << "No\n";
#define YES cout << "YES\n";
#define NO cout << "NO\n";
#define _for(i, a, b) for(int i = a; i <= b; ++i)
#define IOS ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)
using namespace std;

const int N = 2e5 + 10;
const int mod = 1e9 + 7;

int a[N];
int n, m, t, ret;
string s;

int js(int x) {
	int t = 0;
	while(x) {
		t += x % 10;
		x /= 10;
	}
	return t;
}

signed main() {
	IOS;
	cin >> t;
	while(t -- ) {
		int x, y;
		cin >> x >> y;
		int sum1 = js(x);
		int sum2 = js(y);
		if(x % sum2 == 0 && y % sum1 != 0) {
			cout << "A" << endl;
		} else if(x % sum2 != 0 && y % sum1 == 0) {
			cout << "B" << endl;
		} else if(x % sum2 == 0 && y % sum1 == 0 || x % sum2 != 0 && y % sum1 != 0) {
			cout << (x > y ? "A" : "B") << endl;
		}
	}
	return 0;
}


